Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C223 ⋊ #413 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3568 |
Polycyclic presentation:
2^6,223|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^222,e^b=ef2242 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252915, #43252916, #43252921, … |
| maximal normal subgroup of | #43252915, #43252916, #43252921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 533);